PL involutions of fibered 3-manifolds

Kim, Paik Kee; Tollefson, Jeffrey L.

doi:10.1090/S0002-9947-1977-0454981-2

PL involutions of fibered $3$-manifolds
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by Paik Kee Kim and Jeffrey L. Tollefson PDF

Trans. Amer. Math. Soc. 232 (1977), 221-237 Request permission

Abstract:

Let h be a PL involution of $F \times [0,1]$ such that $h(F \times \{ 0,1\} ) = F \times \{ 0,1\}$, where F is a compact 2-manifold. It is shown that h is equivalent to an involution $h’$ of the form $h’(x,t) = (g(x),\lambda (t))$. This result is applied to classify the PL involutions of closed, orientable, Seifert manifolds when the fixed-point set contains a two-dimensional component of negative characteristic.

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